Question

How do you solve `2x+12-7x=-2?`

Answer 1

See a solution process below:

Explanation:

First, group and combine like terms on the left side of the equation:

`2x + 12 - 7x = -2`

`2x - 7x + 12 = -2`

`(2 - 7)x + 12 = -2`

`-5x + 12 = -2`

Next, subtract `color(red)(12)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-5x + 12 - color(red)(12) = -2 - color(red)(12)`

`-5x + 0 = -14`

`-5x = -14`

Now, divide each side of the equation by `color(red)(-5)` to solve for `x` while keeping the equation balanced:

`(-5x)/color(red)(-5) = -14/color(red)(-5)`

`(color(red)(cancel(color(black)(-5)))x)/cancel(color(red)(-5)) = 14/5`

`x = 14/5`